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Finding the Third Proportional to 50,706.70 and 78,824.81

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Solution

The third proportional to 50,706.70 and 78,824.81 is: 122,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706.70 : 78,824.81 = 78,824.81 : x
  2. Step 2: Convert to fraction form
    50,706.70/78,824.81 = 78,824.81/x
  3. Step 3: Cross multiply
    50,706.70x = 78,824.81 × 78,824.81
  4. Step 4: Simplify right side
    50,706.70x = 6,213,351,065.66
  5. Step 5: Solve for x
    x = 6,213,351,065.66/50,706.70
  6. Step 6: Final answer
    x = 122,535.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.